Search a number
-
+
3344123129 is a prime number
BaseRepresentation
bin1100011101010011…
…0100010011111001
322122001120001112012
43013110310103321
523322043420004
61311500055305
7145604402054
oct30724642371
98561501465
103344123129
111466741226
12793b34535
13413a907a9
1423a1c3a9b
151488bb46e
hexc75344f9

3344123129 has 2 divisors, whose sum is σ = 3344123130. Its totient is φ = 3344123128.

The previous prime is 3344123093. The next prime is 3344123131. The reversal of 3344123129 is 9213214433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2113516729 + 1230606400 = 45973^2 + 35080^2 .

It is a cyclic number.

It is not a de Polignac number, because 3344123129 - 212 = 3344119033 is a prime.

It is a super-2 number, since 2×33441231292 = 22366319003825501282, which contains 22 as substring.

Together with 3344123131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3344123095 and 3344123104.

It is not a weakly prime, because it can be changed into another prime (3344123149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1672061564 + 1672061565.

It is an arithmetic number, because the mean of its divisors is an integer number (1672061565).

Almost surely, 23344123129 is an apocalyptic number.

It is an amenable number.

3344123129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3344123129 is an equidigital number, since it uses as much as digits as its factorization.

3344123129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 32.

The square root of 3344123129 is about 57828.3937957817. The cubic root of 3344123129 is about 1495.4116276110.

The spelling of 3344123129 in words is "three billion, three hundred forty-four million, one hundred twenty-three thousand, one hundred twenty-nine".